A variational and numerical approach to model inverse problems applied in subduction earthquakes.

Abstract: This talk presents a mixed variational formulation for the problem of the elasticity equation with jump conditions in an interface with the purpose of modeling subduction earthquakes by introducing the concept of coseismic jump. For this new problem, we introduced an optimal control problem that seeks to recover the coseismic jump from boundary observations. Both problems can be discretized by applying mixed finite elements. Synthetic results applied to a realistic context will be presented.

Finally, we analyze some improvements for the numerical discretization and preliminary ideas of an inverse inequality that ensures the uniqueness and stability of the solution of the inverse problem.

Date: Mar 25, 2024 at 16:15:00 h
Venue: Sala de seminarios del DIM piso 5, Torre Norte, Beauchef 851
Speaker: Jorge Aguayo Araneda
Affiliation: CMM, Universidad de Chile
Coordinator: Gabrielle Nornberg
More info at:
Event website

Posted on Mar 20, 2024 in Differential Equations, Seminars